201012022112 has 96 divisors (see below), whose sum is σ = 437989827744. Its totient is φ = 90044006400.

The previous prime is 201012022097. The next prime is 201012022121. The reversal of 201012022112 is 211220210102.

It is a super-4 number, since 4×201012022112⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42575912 + ... + 42580632.

It is an arithmetic number, because the mean of its divisors is an integer number (4562394039).

Almost surely, 2^201012022112 is an apocalyptic number.

201012022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218994913872).

201012022112 is an abundant number, since it is smaller than the sum of its proper divisors (236977805632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201012022112 is a wasteful number, since it uses less digits than its factorization.

201012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012022112 its reverse (211220210102), we get a palindrome (412232232214).

The spelling of 201012022112 in words is "two hundred one billion, twelve million, twenty-two thousand, one hundred twelve".